The following tables have treatment in columns and strata in rows.
| cash | information | psychological | control | |
|---|---|---|---|---|
| Syr,M,< HS,never emp | 38 | 29 | 55 | 51 |
| Syr,M,< HS,ever emp | 76 | 57 | 83 | 113 |
| Syr,M,>= HS,never emp | 3 | 3 | 3 | 4 |
| Syr,M,>= HS,ever emp | 4 | 2 | 8 | 12 |
| Syr,F,< HS,never emp | 194 | 101 | 128 | 137 |
| Syr,F,< HS,ever emp | 37 | 28 | 64 | 63 |
| Syr,F,>= HS,never emp | 8 | 5 | 9 | 8 |
| Syr,F,>= HS,ever emp | 3 | 3 | 2 | 5 |
| Jor,M,< HS,never emp | 36 | 34 | 38 | 83 |
| Jor,M,< HS,ever emp | 31 | 81 | 98 | 90 |
| Jor,M,>= HS,never emp | 13 | 22 | 12 | 9 |
| Jor,M,>= HS,ever emp | 36 | 19 | 25 | 51 |
| Jor,F,< HS,never emp | 65 | 163 | 126 | 96 |
| Jor,F,< HS,ever emp | 46 | 58 | 67 | 48 |
| Jor,F,>= HS,never emp | 44 | 44 | 53 | 37 |
| Jor,F,>= HS,ever emp | 21 | 20 | 72 | 50 |
| cash | information | psychological | control | |
|---|---|---|---|---|
| Syr,M,< HS,never emp | 2 | 0 | 1 | 2 |
| Syr,M,< HS,ever emp | 5 | 3 | 5 | 8 |
| Syr,M,>= HS,never emp | 1 | 0 | 0 | 1 |
| Syr,M,>= HS,ever emp | 0 | 0 | 1 | 1 |
| Syr,F,< HS,never emp | 6 | 2 | 1 | 0 |
| Syr,F,< HS,ever emp | 1 | 1 | 2 | 1 |
| Syr,F,>= HS,never emp | 1 | 0 | 1 | 0 |
| Syr,F,>= HS,ever emp | 0 | 0 | 0 | 0 |
| Jor,M,< HS,never emp | 1 | 1 | 2 | 6 |
| Jor,M,< HS,ever emp | 3 | 9 | 13 | 11 |
| Jor,M,>= HS,never emp | 2 | 4 | 1 | 0 |
| Jor,M,>= HS,ever emp | 3 | 1 | 1 | 4 |
| Jor,F,< HS,never emp | 1 | 7 | 5 | 3 |
| Jor,F,< HS,ever emp | 6 | 5 | 4 | 3 |
| Jor,F,>= HS,never emp | 3 | 2 | 1 | 2 |
| Jor,F,>= HS,ever emp | 0 | 0 | 10 | 3 |
| cash | information | psychological | control | |
|---|---|---|---|---|
| Syr,M,< HS,never emp | 0.05 | 0.00 | 0.02 | 0.04 |
| Syr,M,< HS,ever emp | 0.07 | 0.05 | 0.06 | 0.07 |
| Syr,M,>= HS,never emp | 0.33 | 0.00 | 0.00 | 0.25 |
| Syr,M,>= HS,ever emp | 0.00 | 0.00 | 0.12 | 0.08 |
| Syr,F,< HS,never emp | 0.03 | 0.02 | 0.01 | 0.00 |
| Syr,F,< HS,ever emp | 0.03 | 0.04 | 0.03 | 0.02 |
| Syr,F,>= HS,never emp | 0.12 | 0.00 | 0.11 | 0.00 |
| Syr,F,>= HS,ever emp | 0.00 | 0.00 | 0.00 | 0.00 |
| Jor,M,< HS,never emp | 0.03 | 0.03 | 0.05 | 0.07 |
| Jor,M,< HS,ever emp | 0.10 | 0.11 | 0.13 | 0.12 |
| Jor,M,>= HS,never emp | 0.15 | 0.18 | 0.08 | 0.00 |
| Jor,M,>= HS,ever emp | 0.08 | 0.05 | 0.04 | 0.08 |
| Jor,F,< HS,never emp | 0.02 | 0.04 | 0.04 | 0.03 |
| Jor,F,< HS,ever emp | 0.13 | 0.09 | 0.06 | 0.06 |
| Jor,F,>= HS,never emp | 0.07 | 0.05 | 0.02 | 0.05 |
| Jor,F,>= HS,ever emp | 0.00 | 0.00 | 0.14 | 0.06 |
| cash | information | psychological | control | |
|---|---|---|---|---|
| Syr,M,< HS,never emp | 0.06 | 0.03 | 0.04 | 0.05 |
| Syr,M,< HS,ever emp | 0.06 | 0.05 | 0.06 | 0.07 |
| Syr,M,>= HS,never emp | 0.07 | 0.06 | 0.06 | 0.09 |
| Syr,M,>= HS,ever emp | 0.06 | 0.06 | 0.08 | 0.07 |
| Syr,F,< HS,never emp | 0.04 | 0.03 | 0.02 | 0.01 |
| Syr,F,< HS,ever emp | 0.05 | 0.05 | 0.04 | 0.03 |
| Syr,F,>= HS,never emp | 0.06 | 0.05 | 0.07 | 0.05 |
| Syr,F,>= HS,ever emp | 0.06 | 0.06 | 0.06 | 0.05 |
| Jor,M,< HS,never emp | 0.05 | 0.05 | 0.06 | 0.07 |
| Jor,M,< HS,ever emp | 0.07 | 0.09 | 0.11 | 0.11 |
| Jor,M,>= HS,never emp | 0.07 | 0.10 | 0.07 | 0.05 |
| Jor,M,>= HS,ever emp | 0.07 | 0.06 | 0.05 | 0.07 |
| Jor,F,< HS,never emp | 0.05 | 0.05 | 0.04 | 0.04 |
| Jor,F,< HS,ever emp | 0.08 | 0.07 | 0.06 | 0.06 |
| Jor,F,>= HS,never emp | 0.06 | 0.05 | 0.04 | 0.06 |
| Jor,F,>= HS,ever emp | 0.05 | 0.04 | 0.11 | 0.06 |
| stratum | cash | information | psychological | control |
|---|---|---|---|---|
| Syr,M,< HS,never emp | 0.49 | 0.13 | 0.12 | 0.26 |
| Syr,M,< HS,ever emp | 0.23 | 0.17 | 0.24 | 0.37 |
| Syr,M,>= HS,never emp | 0.23 | 0.16 | 0.19 | 0.43 |
| Syr,M,>= HS,ever emp | 0.16 | 0.18 | 0.37 | 0.29 |
| Syr,F,< HS,never emp | 0.67 | 0.26 | 0.06 | 0.01 |
| Syr,F,< HS,ever emp | 0.39 | 0.32 | 0.21 | 0.08 |
| Syr,F,>= HS,never emp | 0.28 | 0.17 | 0.39 | 0.16 |
| Syr,F,>= HS,ever emp | 0.26 | 0.23 | 0.29 | 0.22 |
| Jor,M,< HS,never emp | 0.17 | 0.13 | 0.26 | 0.45 |
| Jor,M,< HS,ever emp | 0.04 | 0.17 | 0.46 | 0.33 |
| Jor,M,>= HS,never emp | 0.17 | 0.55 | 0.20 | 0.08 |
| Jor,M,>= HS,ever emp | 0.26 | 0.19 | 0.17 | 0.38 |
| Jor,F,< HS,never emp | 0.28 | 0.28 | 0.26 | 0.17 |
| Jor,F,< HS,ever emp | 0.36 | 0.31 | 0.15 | 0.17 |
| Jor,F,>= HS,never emp | 0.39 | 0.22 | 0.08 | 0.31 |
| Jor,F,>= HS,ever emp | 0.03 | 0.03 | 0.85 | 0.09 |
| stratum | cash | information | psychological | control |
|---|---|---|---|---|
| Syr,M,< HS,never emp | 0.45 | 0.15 | 0.15 | 0.26 |
| Syr,M,< HS,ever emp | 0.23 | 0.18 | 0.24 | 0.34 |
| Syr,M,>= HS,never emp | 0.23 | 0.17 | 0.20 | 0.39 |
| Syr,M,>= HS,ever emp | 0.18 | 0.20 | 0.34 | 0.28 |
| Syr,F,< HS,never emp | 0.59 | 0.26 | 0.10 | 0.06 |
| Syr,F,< HS,ever emp | 0.36 | 0.30 | 0.22 | 0.12 |
| Syr,F,>= HS,never emp | 0.27 | 0.19 | 0.37 | 0.17 |
| Syr,F,>= HS,ever emp | 0.26 | 0.23 | 0.28 | 0.23 |
| Jor,M,< HS,never emp | 0.18 | 0.15 | 0.26 | 0.41 |
| Jor,M,< HS,ever emp | 0.08 | 0.19 | 0.42 | 0.32 |
| Jor,M,>= HS,never emp | 0.19 | 0.49 | 0.21 | 0.12 |
| Jor,M,>= HS,ever emp | 0.26 | 0.20 | 0.18 | 0.36 |
| Jor,F,< HS,never emp | 0.28 | 0.28 | 0.26 | 0.18 |
| Jor,F,< HS,ever emp | 0.34 | 0.30 | 0.17 | 0.19 |
| Jor,F,>= HS,never emp | 0.36 | 0.23 | 0.11 | 0.30 |
| Jor,F,>= HS,ever emp | 0.08 | 0.07 | 0.73 | 0.12 |
| stratum | cash | information | psychological | control |
|---|---|---|---|---|
| Syr,M,< HS,never emp | (0.03, 0.09) | (0.00, 0.08) | (0.01, 0.07) | (0.02, 0.09) |
| Syr,M,< HS,ever emp | (0.04, 0.09) | (0.02, 0.10) | (0.03, 0.10) | (0.04, 0.11) |
| Syr,M,>= HS,never emp | (0.03, 0.12) | (0.01, 0.13) | (0.01, 0.14) | (0.02, 0.20) |
| Syr,M,>= HS,ever emp | (0.02, 0.10) | (0.01, 0.13) | (0.02, 0.16) | (0.02, 0.15) |
| Syr,F,< HS,never emp | (0.02, 0.06) | (0.01, 0.06) | (0.00, 0.04) | (0.00, 0.03) |
| Syr,F,< HS,ever emp | (0.02, 0.09) | (0.01, 0.10) | (0.01, 0.08) | (0.01, 0.07) |
| Syr,F,>= HS,never emp | (0.03, 0.11) | (0.01, 0.12) | (0.02, 0.16) | (0.00, 0.12) |
| Syr,F,>= HS,ever emp | (0.03, 0.10) | (0.01, 0.13) | (0.01, 0.14) | (0.01, 0.13) |
| Jor,M,< HS,never emp | (0.02, 0.09) | (0.01, 0.09) | (0.02, 0.11) | (0.03, 0.11) |
| Jor,M,< HS,ever emp | (0.04, 0.11) | (0.05, 0.14) | (0.07, 0.16) | (0.06, 0.16) |
| Jor,M,>= HS,never emp | (0.03, 0.12) | (0.04, 0.20) | (0.02, 0.14) | (0.00, 0.11) |
| Jor,M,>= HS,ever emp | (0.03, 0.10) | (0.02, 0.12) | (0.01, 0.11) | (0.03, 0.13) |
| Jor,F,< HS,never emp | (0.02, 0.07) | (0.02, 0.07) | (0.02, 0.07) | (0.01, 0.07) |
| Jor,F,< HS,ever emp | (0.05, 0.12) | (0.04, 0.13) | (0.03, 0.10) | (0.02, 0.11) |
| Jor,F,>= HS,never emp | (0.03, 0.10) | (0.02, 0.10) | (0.01, 0.08) | (0.02, 0.11) |
| Jor,F,>= HS,ever emp | (0.02, 0.09) | (0.00, 0.09) | (0.07, 0.17) | (0.02, 0.11) |
Comparison of the average potential outcomes for the actually chosen treatment assignment to the average that would have obtained under random assignment, \[\begin{align*} \Delta_1 &= \tfrac{1}{N} \sum_{i,t} \left ( \hat E\left [\theta^{D_{it} X_{it}} \right ] - \tfrac{1}{4} \sum_d \hat E\left [\theta^{d X_{it}}\right ] \right )\\ &=0.002 \end{align*}\]
Comparison of the optimal targeted policy, and the optimal non-targeted policy, to the default of (treatment \(0\)), \[\begin{align*} \Delta_2 &= \sum_x \left ( \max_d \hat E\left [\theta^{dx} \right ] - \hat E\left [\theta^{0x} \right ] \right ) p^x\\ &= 0.015, \\ \Delta_3 &= \max_d \sum_x \left (\hat E\left [\theta^{dx} \right ] - \hat E\left [\theta^{0x} \right ] \right ) p^x \\ &= 0.004. \end{align*}\]
95% credible sets: \[\begin{align*} \Delta_1: &\quad (0.00, 0.00)\\ \Delta_2: &\quad (0.00, 0.03)\\ \Delta_3: &\quad (-0.02, 0.03) \end{align*}\]
90% credible sets: \[\begin{align*} \Delta_1: &\quad (0.00, 0.00)\\ \Delta_2: &\quad (0.00, 0.03)\\ \Delta_3: &\quad (-0.01, 0.02) \end{align*}\]